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Finding the Fourth Proportional to 535,078.96, 738,154.56 and 320,175.76

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Solution

The fourth proportional to 535,078.96, 738,154.56 and 320,175.76 is: 441,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,078.96 : 738,154.56 = 320,175.76 : x
  2. Step 2: Convert to fraction form
    535,078.96/738,154.56 = 320,175.76/x
  3. Step 3: Cross multiply
    535,078.96x = 738,154.56 × 320,175.76
  4. Step 4: Simplify right side
    535,078.96x = 236,339,197,245.47
  5. Step 5: Solve for x
    x = 236,339,197,245.47/535,078.96
  6. Step 6: Final answer
    x = 441,690.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.